Finding the Third Proportional to 200,736 and 436,464

Step by Step Solution

1. Step 1: Write the proportion equation
   200,736 : 436,464 = 436,464 : x
2. Step 2: Convert to fraction form
   200,736/436,464 = 436,464/x
3. Step 3: Cross multiply
   200,736x = 436,464 × 436,464
4. Step 4: Simplify right side
   200,736x = 190,500,823,296
5. Step 5: Solve for x
   x = 190,500,823,296/200,736
6. Step 6: Final answer
   x = 949,011.75